When I read proofs about the direction of gradient Why is gradient the direction of steepest ascent?, the top rated answer shows that the direction of grad$(f)$ should be the same as vector $v$ so that $f$ changes fastest along $v$ direction. However since $v$ is arbitrary I don't see why it is the direction for the maximum function increase. Also I was wondering why grad$(f)$ is the same direction as the normal vector instead of tangent vector. Any help or hint is appreciated.
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maybe this video will help:https://www.youtube.com/watch?v=TEB2z7ZlRAw – BinyaminR Jul 17 '20 at 16:39
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3Does this answer your question? Why is gradient the direction of steepest ascent? – K.defaoite Jul 17 '20 at 16:48
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@K.defaoite I don't understand the top rated answer and that's the reason why I asked this question. – Maskoff Jul 17 '20 at 16:52
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@Maskoff Then perhaps comment on the post and ask them to clarify? – K.defaoite Jul 17 '20 at 16:53